On groups with weak Sierpiński subsets

Prelegent(ci)

Agnieszka Bier

Afiliacja

Politechnika Śląska

Termin

29 kwietnia 2021 12:15

Informacje na temat wydarzenia

Zoom

Seminarium

Seminarium „Algebra”

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This is joint work with Y. Cornulier and P. Słanina.
Let G be an infinite group. A subset E of  G is called a weak Sierpiński subset if there exist two elements g, h in G and two distinct points a and b in E  such that  gE=E \{a} and hE=E\{b}. In the talk we discuss the subgroup H=<g,h> and provide its presentation if it is not free over (g,h). We also characterize all weak Sierpiński subsets in groups with such a presentation.

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